The area of the field ABGFEA is

7225 m^{2}

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7230 m^{2}

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7235 m^{2}

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7240 m^{2}

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Solution

The correct option is A $7225 m^{2}$
Area of triangle FGH $= \frac{1}{2} \times 50 \times 50 = 1250 m^{2}$

Area of triangle AFE $= \frac{1}{2} \times 140 \times 45 = 3150 m^{2}$

Area of triangle ABC $= \frac{1}{2} \times 40 \times 35 = 700 m^{2}$

Area of trapezium BCHG $= \frac{h}{2} (a + b) = \frac{50}{2} \times 40 (50 + 35) = 2125$

Area of ABGFEA $= 1250 + 3150 + 700 + 2125 = 7225 m^{2}$

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The area of the field ABGFEA is

The correct option is A 7225m2Area of triangle FGH=12×50×50=1250m2Area of triangle AFE =12×140×45=3150m2Area of triangle ABC=12×40×35=700m2Area of trapezium BCHG=h2(a+b)=502×40(50+35)=2125Area of ABGFEA =1250+3150+700+2125=7225m2